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Finding the Fourth Proportional to 627.10, 865.50 and 417.28

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Solution

The fourth proportional to 627.10, 865.50 and 417.28 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.10 : 865.50 = 417.28 : x
  2. Step 2: Convert to fraction form
    627.10/865.50 = 417.28/x
  3. Step 3: Cross multiply
    627.10x = 865.50 × 417.28
  4. Step 4: Simplify right side
    627.10x = 361,155.84
  5. Step 5: Solve for x
    x = 361,155.84/627.10
  6. Step 6: Final answer
    x = 575.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.